{ "cells": [ { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "# Estimation de la latence et de la capacité d’une connexion à partir de mesures asymétriques (sujet 4)" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "Pour notre analyse sur les caractéristiques d'une connexion nous utiliserons un modèle simplifié qui néglige certains détails.\n", "Ce modèle permet de mettre en relation le **temps d'envoi $T$** (en secondes) d'un message de **taille $S$** (en octets) par une connexion de **latence $L$** (en secondes) et de **capacité $C$** (en octets/seconde) par la formule suivante : $$T(S) = L + S/C$$" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "Nous allons donc tenter de déterminer la latence et la capacité d'une connection à partir de deux jeux de données brutes, qui ont été obtenus pour deux connexions différentes avec l'outil `ping`." ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## Analyse des données" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dépendances" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import isoweek" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Connexion courte à l'intérieur d'un campus" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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[1421761685.414106] 34 bytes from lig-publig.imag.fr \n", "16 [1421761685.620117] 1843 bytes from lig-publig.imag.fr \n", "17 [1421761685.824949] 407 bytes from lig-publig.imag.fr \n", "18 [1421761686.029177] 356 bytes from lig-publig.imag.fr \n", "19 [1421761686.234464] 1511 bytes from lig-publig.imag.fr \n", "20 [1421761686.438772] 587 bytes from lig-publig.imag.fr \n", "21 [1421761686.643208] 809 bytes from lig-publig.imag.fr \n", "22 [1421761686.848323] 1364 bytes from lig-publig.imag.fr \n", "23 [1421761687.053400] 1153 bytes from lig-publig.imag.fr \n", "24 [1421761687.257704] 853 bytes from lig-publig.imag.fr \n", "25 [1421761687.463275] 1510 bytes from lig-publig.imag.fr \n", "26 [1421761687.668423] 123 bytes from lig-publig.imag.fr \n", "27 [1421761687.874230] 1966 bytes from lig-publig.imag.fr \n", "28 [1421761688.078667] 933 bytes from lig-publig.imag.fr \n", "29 [1421761688.283655] 922 bytes from lig-publig.imag.fr \n", "... ... ... ... ... ... \n", "44383 [1421771180.743715] 1772 bytes from lig-publig.imag.fr \n", "44384 [1421771180.949053] 41 bytes from lig-publig.imag.fr \n", "44385 [1421771181.155685] 1944 bytes from lig-publig.imag.fr \n", "44386 [1421771181.362095] 400 bytes from lig-publig.imag.fr \n", "44387 [1421771181.569409] 226 bytes from lig-publig.imag.fr \n", "44388 [1421771181.780805] 466 bytes from lig-publig.imag.fr \n", "44389 [1421771181.998869] 350 bytes from lig-publig.imag.fr \n", "44390 [1421771182.248969] 1829 bytes from lig-publig.imag.fr \n", "44391 [1421771182.512386] 1954 bytes from lig-publig.imag.fr \n", "44392 [1421771182.717961] 1074 bytes from lig-publig.imag.fr \n", "44393 [1421771182.923292] 46 bytes from lig-publig.imag.fr \n", "44394 [1421771183.129965] 1844 bytes from lig-publig.imag.fr \n", "44395 [1421771183.335449] 645 bytes from lig-publig.imag.fr \n", "44396 [1421771183.540901] 444 bytes from lig-publig.imag.fr \n", "44397 [1421771183.747983] 1940 bytes from lig-publig.imag.fr \n", "44398 [1421771183.954099] 1411 bytes from lig-publig.imag.fr \n", "44399 [1421771184.159879] 49 bytes from lig-publig.imag.fr \n", "44400 [1421771184.365815] 420 bytes from lig-publig.imag.fr \n", "44401 [1421771184.571516] 227 bytes from lig-publig.imag.fr \n", "44402 [1421771184.777325] 947 bytes from lig-publig.imag.fr \n", "44403 [1421771184.983905] 1960 bytes from lig-publig.imag.fr \n", "44404 [1421771185.188976] 531 bytes from lig-publig.imag.fr \n", "44405 [1421771185.394275] 374 bytes from lig-publig.imag.fr \n", "44406 [1421771185.600745] 1503 bytes from lig-publig.imag.fr \n", "44407 [1421771185.805877] 572 bytes from lig-publig.imag.fr \n", "44408 [1421771186.011910] 1338 bytes from lig-publig.imag.fr \n", "44409 [1421771186.222729] 1515 bytes from lig-publig.imag.fr \n", "44410 [1421771186.429007] 1875 bytes from lig-publig.imag.fr \n", "44411 [1421771186.634747] 1006 bytes from lig-publig.imag.fr \n", "44412 [1421771186.840222] 1273 bytes from lig-publig.imag.fr \n", "\n", " 5 6 7 8 9 \n", "0 (129.88.11.7): icmp_seq=1 ttl=60 time=22.5 ms \n", "1 (129.88.11.7): icmp_seq=1 ttl=60 time=21.2 ms \n", "2 (129.88.11.7): icmp_seq=1 ttl=60 time=21.2 ms \n", "3 (129.88.11.7): icmp_seq=1 ttl=60 time=23.3 ms \n", "4 (129.88.11.7): icmp_seq=1 ttl=60 time=1.41 ms \n", "5 (129.88.11.7): icmp_seq=1 ttl=60 time=21.9 ms \n", "6 (129.88.11.7): icmp_seq=1 ttl=60 time=78.7 ms \n", "7 (129.88.11.7): icmp_seq=1 ttl=60 time=25.1 ms \n", "8 (129.88.11.7): icmp_seq=1 ttl=60 time=24.0 ms \n", "9 (129.88.11.7): icmp_seq=1 ttl=60 time=19.5 ms \n", "10 (129.88.11.7): icmp_seq=1 ttl=60 time=18.0 ms \n", "11 (129.88.11.7): icmp_seq=1 ttl=60 time=18.8 ms \n", "12 (129.88.11.7): icmp_seq=1 ttl=60 NaN NaN \n", "13 (129.88.11.7): icmp_seq=1 ttl=60 time=24.3 ms \n", "14 (129.88.11.7): icmp_seq=1 ttl=60 time=3.45 ms \n", "15 (129.88.11.7): icmp_seq=1 ttl=60 time=5.85 ms \n", "16 (129.88.11.7): icmp_seq=1 ttl=60 time=2.31 ms \n", "17 (129.88.11.7): icmp_seq=1 ttl=60 time=1.14 ms \n", "18 (129.88.11.7): icmp_seq=1 ttl=60 time=1.10 ms \n", "19 (129.88.11.7): icmp_seq=1 ttl=60 time=2.18 ms \n", "20 (129.88.11.7): icmp_seq=1 ttl=60 time=1.27 ms \n", "21 (129.88.11.7): icmp_seq=1 ttl=60 time=1.33 ms \n", "22 (129.88.11.7): icmp_seq=1 ttl=60 time=1.51 ms \n", "23 (129.88.11.7): icmp_seq=1 ttl=60 time=1.44 ms \n", "24 (129.88.11.7): icmp_seq=1 ttl=60 time=1.30 ms \n", "25 (129.88.11.7): icmp_seq=1 ttl=60 time=2.17 ms \n", "26 (129.88.11.7): icmp_seq=1 ttl=60 time=1.21 ms \n", "27 (129.88.11.7): icmp_seq=1 ttl=60 time=2.20 ms \n", "28 (129.88.11.7): icmp_seq=1 ttl=60 time=1.34 ms \n", "29 (129.88.11.7): icmp_seq=1 ttl=60 time=1.42 ms \n", "... ... ... ... ... ... \n", "44383 (129.88.11.7): icmp_seq=1 ttl=60 time=28.8 ms \n", "44384 (129.88.11.7): icmp_seq=1 ttl=60 time=1.14 ms \n", "44385 (129.88.11.7): icmp_seq=1 ttl=60 time=2.32 ms \n", "44386 (129.88.11.7): icmp_seq=1 ttl=60 time=1.98 ms \n", "44387 (129.88.11.7): icmp_seq=1 ttl=60 time=3.01 ms \n", "44388 (129.88.11.7): icmp_seq=1 ttl=60 time=7.45 ms \n", "44389 (129.88.11.7): icmp_seq=1 ttl=60 time=13.5 ms \n", "44390 (129.88.11.7): icmp_seq=1 ttl=60 time=45.9 ms \n", "44391 (129.88.11.7): icmp_seq=1 ttl=60 time=58.5 ms \n", "44392 (129.88.11.7): icmp_seq=1 ttl=60 time=1.45 ms \n", "44393 (129.88.11.7): icmp_seq=1 ttl=60 time=1.11 ms \n", "44394 (129.88.11.7): icmp_seq=1 ttl=60 time=2.26 ms \n", "44395 (129.88.11.7): icmp_seq=1 ttl=60 time=1.24 ms \n", "44396 (129.88.11.7): icmp_seq=1 ttl=60 time=1.25 ms \n", "44397 (129.88.11.7): icmp_seq=1 ttl=60 time=2.46 ms \n", "44398 (129.88.11.7): icmp_seq=1 ttl=60 time=1.47 ms \n", "44399 (129.88.11.7): icmp_seq=1 ttl=60 time=1.21 ms \n", "44400 (129.88.11.7): icmp_seq=1 ttl=60 time=1.55 ms \n", "44401 (129.88.11.7): icmp_seq=1 ttl=60 time=1.22 ms \n", "44402 (129.88.11.7): icmp_seq=1 ttl=60 time=1.34 ms \n", "44403 (129.88.11.7): icmp_seq=1 ttl=60 time=2.43 ms \n", "44404 (129.88.11.7): icmp_seq=1 ttl=60 time=1.19 ms \n", "44405 (129.88.11.7): icmp_seq=1 ttl=60 time=1.14 ms \n", "44406 (129.88.11.7): icmp_seq=1 ttl=60 time=2.19 ms \n", "44407 (129.88.11.7): icmp_seq=1 ttl=60 time=1.29 ms \n", "44408 (129.88.11.7): icmp_seq=1 ttl=60 time=1.47 ms \n", "44409 (129.88.11.7): icmp_seq=1 ttl=60 time=7.02 ms \n", "44410 (129.88.11.7): icmp_seq=1 ttl=60 time=2.33 ms \n", "44411 (129.88.11.7): icmp_seq=1 ttl=60 time=1.61 ms \n", "44412 (129.88.11.7): icmp_seq=1 ttl=60 time=1.35 ms \n", "\n", "[44413 rows x 10 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw_data = pd.read_csv(\"http://mescal.imag.fr/membres/arnaud.legrand/teaching/2014/RICM4_EP_ping/liglab2.log.gz\",sep=' ',header=None)\n", "raw_data" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_code_all_hidden": true, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }